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190666512 = 24323373929
BaseRepresentation
bin10110101110101…
…01011100010000
3111021202212021200
423113111130100
5342302312022
630530351200
74503432021
oct1327253420
9437685250
10190666512
1198698633
1253a2b500
1330669c2a
141b472c48
1511b13bac
hexb5d5710

190666512 has 60 divisors (see below), whose sum is σ = 535321020. Its totient is φ = 63350784.

The previous prime is 190666507. The next prime is 190666517. The reversal of 190666512 is 215666091.

190666512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190666507) and next prime (190666517).

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 152176896 = 6204^2 + 12336^2 .

It is a super-2 number, since 2×1906665122 = 72707437596492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190666517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46564 + ... + 50492.

It is an arithmetic number, because the mean of its divisors is an integer number (8922017).

Almost surely, 2190666512 is an apocalyptic number.

190666512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190666512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267660510).

190666512 is an abundant number, since it is smaller than the sum of its proper divisors (344654508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190666512 is a wasteful number, since it uses less digits than its factorization.

190666512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 190666512 is about 13808.2045176047. The cubic root of 190666512 is about 575.5611530015.

The spelling of 190666512 in words is "one hundred ninety million, six hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 3929 4044 5392 6066 7858 8088 11787 12132 15716 16176 23574 24264 31432 35361 47148 48528 62864 70722 94296 141444 188592 282888 565776 1324073 2648146 3972219 5296292 7944438 10592584 11916657 15888876 21185168 23833314 31777752 47666628 63555504 95333256 190666512